Answer:
5/6
Step-by-step explanation:
 
        
             
        
        
        
Answer:50
Step-by-step explanation: simplify
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:

Adding 1 to both sides of the equation.


Factoring the left side of the equation.




Taking the square root of both sides of the equation.


Subtracting 1 from both sides of the equation.


 
        
                    
             
        
        
        
1) split the range in three identical invervals of size [6 - 0] / 3 = 2
2) form three rectangles
2a) First rectangle: base 2, height f(2) = 2^2 + 1 = 5
     area 1 = base * height = 2 * 5 = 10
2b) second rectangle: base 2, height f(2+2) = 4^2 + 1 = 17
     area 2 = 2 * 17 = 34
2c) third rectangle: base 2 height f(4+2) = 6^2 + 1 = 37
     area 3 = 2*37 = 74
3) total area = area 1 + area 2 + area 3 = 10 + 34 + 74 =  118
        
             
        
        
        
9514 1404 393
Answer:
   f(x) = 4·3^x
Step-by-step explanation:
We assume the function will be of the form ...
   f(x) = a·b^x
Substituting the given values, we can find 'a' and 'b'.
   4/9 = a·b^(-2)
   108 = a·b^3
Dividing the second equation by the first gives ...
   108/(4/9) = b^(3 -(-2))
   243 = b^5
   b = 3 . . . . . . 5th root
Using the second equation, we can find 'a':
   108 = a·3^3 = 27a
   a = 108/27 = 4
The formula for the exponential function is ...
   f(x) = 4·3^x